Triple

T26253940
Position Surface form Disambiguated ID Type / Status
Subject E8 lattice E656669 entity
Predicate thetaSeriesIsModularFormFor P160135 FINISHED
Object SL2(Z) LITERAL FINISHED

How this triple was built (2 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: SL2(Z) | Statement: [E8 lattice, thetaSeriesIsModularFormFor, SL2(Z)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: thetaSeriesIsModularFormFor
Context triple: [E8 lattice, thetaSeriesIsModularFormFor, SL2(Z)]
  • A. hasSeriesExpansion
    Indicates that a mathematical function or expression is associated with a specific series representation (such as a Taylor or power series) that expands it around a point or region.
  • B. isIntegralFormOf
    Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
  • C. isRingTheoreticAnalogueOf
    Indicates that one concept in ring theory serves as the structural or conceptual counterpart of another notion from a different mathematical context.
  • D. hasAsymptoticExpansion
    Indicates that one mathematical object serves as the asymptotic expansion approximating another object in a specified limit or regime.
  • E. isSupersymmetricExtensionOf
    Indicates that one theory, model, or structure is a supersymmetric generalization or enlargement of another, obtained by adding supersymmetry while preserving the original as a limiting or embedded case.
  • F. None of above. chosen

Provenance (4 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69ee5b4d25ac819086acb51184602576 completed April 26, 2026, 6:37 p.m.
NER Named-entity recognition batch_69f60dcc29cc81908880bd825cb12141 completed May 2, 2026, 2:44 p.m.
PD Predicate disambiguation batch_69f5f7ff548c8190a23e98c5e66e0bc7 completed May 2, 2026, 1:11 p.m.
PDg Predicate description generation batch_69f5ffc6268c8190b63f6360ebadab73 completed May 2, 2026, 1:44 p.m.
Created at: April 26, 2026, 9:08 p.m.